72916825 has 24 divisors (see below), whose sum is σ = 98344152. Its totient is φ = 53406720.

The previous prime is 72916799. The next prime is 72916841. The reversal of 72916825 is 52861927.

It can be written as a sum of positive squares in 12 ways, for example, as 5938969 + 66977856 = 2437^2 + 8184^2 .

It is not a de Polignac number, because 72916825 - 2¹⁷ = 72785753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13407 + ... + 18043.

It is an arithmetic number, because the mean of its divisors is an integer number (4097673).

Almost surely, 2^72916825 is an apocalyptic number.

It is an amenable number.

72916825 is a deficient number, since it is larger than the sum of its proper divisors (25427327).

72916825 is a wasteful number, since it uses less digits than its factorization.

72916825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4696 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 72916825 is about 8539.1349093453. The cubic root of 72916825 is about 417.7751303029.

The spelling of 72916825 in words is "seventy-two million, nine hundred sixteen thousand, eight hundred twenty-five".